Question

Christine’s rectangular bedroom has a perimeter of 44 feet. The length of her bedroom is 2 more than the width. What are the dimensions of her room? 1 point

Answer 1

Answer:

12 feet by 10 feet

Step-by-step explanation:

Let length = x+2 and breadth= x

2(x+2+x)=44

2(2x+2)=44

2x+2= 44/2

2x=22-2

2x=20

x=20/2= 10 feet

Thus, breadth= 10 feet

length= 10+2 =12 feet

Answer 2

let l represent the length of the rectangle and w represent the width. It given l = 2w - 5;

Equation for perimeter is: p = 2l + 2w.

Substituting:

p = 44 feet

l = 2w -5

2 * (2w - 5) + 2 * w = 44

4w - 10 + 2w = 44

Collect terms:

6w = 54

w = 9

The width of the rectangle is 9 feet.

The length of the rectangle is equal: 2w - 5, or 2 * 9 - 5 = 13 feet.

Check:

P = 2 * 13 + 2 * 9

44 = 26 + 18

44 = 44